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1

Bang, S. J. y M. H. Kim. "Zeros of a function given by the series of functions". Applied Mathematics Letters 1, n.º 4 (1988): 331–34. http://dx.doi.org/10.1016/0893-9659(88)90144-9.

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2

Franssens, Ghislain R. "Functions with derivatives given by polynomials in the function itself or a related function". Analysis Mathematica 33, n.º 1 (marzo de 2007): 17–36. http://dx.doi.org/10.1007/s10474-007-0102-5.

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3

Luo, Ya Wen, Can Kang y Chuan Lin Zhang. "Copulas with Given Rational Function Sections". Applied Mechanics and Materials 336-338 (julio de 2013): 2225–28. http://dx.doi.org/10.4028/www.scientific.net/amm.336-338.2225.

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We introduce a construction method with rational function horizontal or vertical sections based on the relationship between copula function and its generator. The copulas formula with fraction linear horizontal (vertical) sections is given. In addition, nonexistence about Archimedean copulas with quadratic rational function horizontal or vertical sections has been proved.
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4

Rodriguez, Matthew J. "Ideals attaining a given Hilbert function". Illinois Journal of Mathematics 44, n.º 4 (diciembre de 2000): 821–27. http://dx.doi.org/10.1215/ijm/1255984693.

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5

Awan, Muhammad, Muhammad Noor, Marcela Mihai, Khalida Noor y Nousheen Akhtar. "On approximately harmonic h-convex functions depending on a given function". Filomat 33, n.º 12 (2019): 3783–93. http://dx.doi.org/10.2298/fil1912783a.

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A new class of harmonic convex function depending on given functions which is called as ?approximately harmonic h-convex functions? is introduced. With the discussion of special cases it is shown that this class unifies other classes of approximately harmonic h-convex function. Some associated integral inequalities with these new classes of harmonic convexity are also obtained. Several special cases of the main results are also discussed.
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6

Averbukh, Yu V. "Differential games with a given value function". Proceedings of the Steklov Institute of Mathematics 266, S1 (septiembre de 2009): 40–55. http://dx.doi.org/10.1134/s0081543809060042.

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7

Evans, E. Graham y Benjamin P. Richert. "POSSIBLE RESOLUTIONS FOR A GIVEN HILBERT FUNCTION". Communications in Algebra 30, n.º 2 (25 de febrero de 2002): 897–906. http://dx.doi.org/10.1081/agb-120013189.

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8

Kolomeec, N. A. "Properties of bent functions constructed by a given bent function using subspaces". Prikladnaya diskretnaya matematika. Prilozhenie, n.º 12 (1 de septiembre de 2019): 50–53. http://dx.doi.org/10.17223/2226308x/12/14.

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9

Zelkin, E. G., V. F. Kravchenko, V. I. Pustovoit y V. V. Timoshenko. "Approximation of a given function by integral functions of the exponential type". Doklady Physics 45, n.º 3 (marzo de 2000): 97–100. http://dx.doi.org/10.1134/1.171715.

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10

Bard, Gregory V. "Determining whether a given cryptographic function is a permutation of another given cryptographic function—A problem in intellectual property". Theoretical Computer Science 800 (diciembre de 2019): 3–14. http://dx.doi.org/10.1016/j.tcs.2019.10.010.

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11

Ben-Benjamin, J. S., L. Cohen, N. C. Dias, P. Loughlin y J. N. Prata. "What is the Wigner Function Closest to a Given Square Integrable Function?" SIAM Journal on Mathematical Analysis 50, n.º 5 (enero de 2018): 5161–97. http://dx.doi.org/10.1137/18m116633x.

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12

Gaál, I. "Integral elements with given discriminant over function fields". Acta Mathematica Hungarica 52, n.º 1-2 (marzo de 1988): 133–46. http://dx.doi.org/10.1007/bf01952486.

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13

Bernardi, Alessandra, Joachim Jelisiejew, Pedro Macias Marques y Kristian Ranestad. "On polynomials with given Hilbert function and applications". Collectanea Mathematica 69, n.º 1 (11 de enero de 2017): 39–64. http://dx.doi.org/10.1007/s13348-016-0190-2.

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14

HED, LISA. "APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUES". International Journal of Mathematics 21, n.º 09 (septiembre de 2010): 1135–45. http://dx.doi.org/10.1142/s0129167x10006410.

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In this paper, we study the approximation of negative plurisubharmonic functions with given boundary values. We want to approximate a plurisubharmonic function by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
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15

Tong, Shih-Hsi y Daniel C. H. Yang. "Rotor Profiles Synthesis for Lobe Pumps With Given Flow Rate Functions". Journal of Mechanical Design 127, n.º 2 (1 de marzo de 2005): 287–94. http://dx.doi.org/10.1115/1.1798271.

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In this paper we present a complete synthesis procedure for lobe pumps with required flow rate functions. A dimensionless flow rate expression, called the “specific flow rate,” is used for our pump synthesis. This specific flow rate depends only on the pitch and deviation functions of the pump rotor, and it is independent of the individual pump size, neither pumping frequency. Another important design parameter used is the “lobe noncircularity,” which is defined as the ratio of the lobe length to the rotor center distance. It is found that the lobe noncircularity is linearly dependent on the ratio of maximum to minimum flow rate regardless of the type of flow rate function. As a result, our synthesis procedure can be simplified as (1) select a type of desirable flow rate function, (2) from the flow rate function derive the corresponding deviation function, (3) based on the deviation function generate the desired rotor profile, and (4) calculate the real pump size. Another advantage is that by using this method wide classes of lobe pumps can be designed. A detailed design example is presented for illustration. In addition, new lobe profiles are invented based on some typical flow rate functions.
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16

Dũng, Dinh, Charles A. Micchelli y Vu Nhat Huy. "Approximation by translates of a single function of functions in space induced by the convolution with a given function". Applied Mathematics and Computation 361 (noviembre de 2019): 777–87. http://dx.doi.org/10.1016/j.amc.2019.06.034.

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17

Rubio, Franco y Orlando Hernández. "BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY". Selecciones Matemáticas 2, n.º 1 (30 de junio de 2015): 54–67. http://dx.doi.org/10.17268/sel.mat.2015.01.06.

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18

Taelman, Lenny. "K3 surfaces over finite fields with given L-function". Algebra & Number Theory 10, n.º 5 (28 de julio de 2016): 1133–46. http://dx.doi.org/10.2140/ant.2016.10.1133.

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19

Bandemer, H. "Some ideas to minimize an empirically given fuzzy function". Optimization 22, n.º 1 (enero de 1991): 139–51. http://dx.doi.org/10.1080/02331939108843652.

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20

STENFLO, ÖRJAN. "ITERATED FUNCTION SYSTEMS WITH A GIVEN CONTINUOUS STATIONARY DISTRIBUTION". Fractals 20, n.º 03n04 (septiembre de 2012): 197–202. http://dx.doi.org/10.1142/s0218348x1250017x.

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21

Van Iseghem, Jeannette y Peter R. Graves-Morris. "Approximation of a function given by its Laurent series". Numerical Algorithms 11, n.º 1 (diciembre de 1996): 339–51. http://dx.doi.org/10.1007/bf02142506.

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22

Maslyuchenko, V. K. y O. V. Maslyuchenko. "Construction of a separately continuous function with given oscillation". Ukrainian Mathematical Journal 50, n.º 7 (julio de 1998): 1080–90. http://dx.doi.org/10.1007/bf02528836.

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23

Zhu, Jian-Feng. "Some estimates for harmonic mappings with given boundary function". Journal of Mathematical Analysis and Applications 411, n.º 2 (marzo de 2014): 631–38. http://dx.doi.org/10.1016/j.jmaa.2013.10.001.

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24

Maslyuchenko, Oleksandr V. y Denys P. Onypa. "A quasi-locally constant function with given cluster sets". European Journal of Mathematics 6, n.º 1 (29 de enero de 2020): 72–79. http://dx.doi.org/10.1007/s40879-020-00397-x.

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25

Zaninetti, L. "The Initial Mass Function as given by the fragmentation". Astronomische Nachrichten 326, n.º 8 (octubre de 2005): 754–59. http://dx.doi.org/10.1002/asna.200510408.

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26

Alexandrova, T. V. y V. A. Kofanov. "Sharp inequalities of various metrics on the classes of functions with given comparison function". Researches in Mathematics 29, n.º 1 (5 de julio de 2021): 11. http://dx.doi.org/10.15421/242102.

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For any $q > p > 0$, $\omega > 0,$ $d \ge 2 \omega,$ we obtain the following sharp inequality of various metrics$$\|x\|_{L_q(I_{d})} \le \frac{\|\varphi +c\|_{L_q(I_{2\omega})}}{\|\varphi + c \|_{L_p(I_{2\omega})}}\|x\|_{L_p(I_{d})}$$on the set $S_{\varphi}(\omega)$ of $d$-periodic functions $x$ having zeros with given the sine-shaped $2\omega$-periodic comparison function $\varphi$, where $c\in [-\|\varphi\|_\infty, \|\varphi\|_\infty]$ is such that$$\|x_{\pm}\|_{L_p(I_{d})} = \|(\varphi +c)_{\pm}\|_{L_p(I_{2\omega})}\,.$$In particular, we obtain such type inequalities on the Sobolev sets of periodic functions and on the spaces of trigonometric polynomials and polynomial splines with given quotient of the norms $\|x_{+}\|_{L_p(I_{d})} / \|x_-\|_{L_p(I_{d})}$.
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27

Lutz, J. Gary y Leigh A. Cundari. "Determining the Most Significant Parametric Function for a Given Linear Hypothesis". Journal of Educational Statistics 12, n.º 3 (septiembre de 1987): 225–33. http://dx.doi.org/10.3102/10769986012003225.

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After a hypothesis about some linear statistical model has been tested and rejected (e.g., in an ANOVA), many researchers employ the Scheffe procedure to locate the source(s) of the rejection. This procedure guarantees that there is at least one linear combination of the model parameters (consistent with the hypothesis) that is significantly different from its hypothesized value. This most significant parametric function is not always easy to find, however, because it may not manifest itself in simple functions (such as pairwise contrasts between groups) or in “obvious” functions (such as those suggested by the graph of an interaction). A general solution to this problem is presented along with a practical example of its application.
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28

Devroye, Luc. "Algorithms for Generating Discrete Random Variables with a Given Generating Function or a Given Moment Sequence". SIAM Journal on Scientific and Statistical Computing 12, n.º 1 (enero de 1991): 107–26. http://dx.doi.org/10.1137/0912006.

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29

Pakovich, F. "On Rational Functions Orthogonal to All Powers of a Given Rational Function on a Curve". Moscow Mathematical Journal 13, n.º 4 (2013): 693–731. http://dx.doi.org/10.17323/1609-4514-2013-13-4-693-731.

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30

Martin Bibby, Bo, Ib Michael Skovgaard y Michael Sørensen. "Diffusion-type models with given marginal distribution and autocorrelation function". Bernoulli 11, n.º 2 (abril de 2005): 191–220. http://dx.doi.org/10.3150/bj/1116340291.

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31

Susmaga, Robert. "Analyzing Discretizations of Continuous Attributes Given a Monotonic Discrimination Function". Intelligent Data Analysis 1, n.º 3 (1 de julio de 1997): 157–79. http://dx.doi.org/10.3233/ida-1997-1303.

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32

Rubio, Franco y Orlando Hernández. "Building a Vectorial function from a fixed point given previously". Selecciones Matemáticas 4, n.º 1 (30 de junio de 2017): 124–38. http://dx.doi.org/10.17268/sel.mat.2017.01.12.

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33

Thunder, Jeffrey Lin. "Counting subspaces of given height defined over a function field". Journal of Number Theory 128, n.º 12 (diciembre de 2008): 2973–3004. http://dx.doi.org/10.1016/j.jnt.2008.06.011.

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34

MASUMOTO, Yasutaka y Osamu SAEKI. "A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH". Kyushu Journal of Mathematics 65, n.º 1 (2011): 75–84. http://dx.doi.org/10.2206/kyushujm.65.75.

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35

SUSMAGA, R. "Analyzing discretizations of continuous attributes given a monotonic discrimination function". Intelligent Data Analysis 1, n.º 1-4 (1997): 157–79. http://dx.doi.org/10.1016/s1088-467x(97)00007-3.

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36

Dikranjan, Dikran, Dmitri Shakhmatov y Jan Spěvák. "Productivity of sequences with respect to a given weight function". Topology and its Applications 158, n.º 3 (febrero de 2011): 298–324. http://dx.doi.org/10.1016/j.topol.2010.11.009.

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37

Schätzle, Reiner. "Hypersurfaces with mean Curvature given by an Ambient Sobolev Function". Journal of Differential Geometry 58, n.º 3 (julio de 2001): 371–420. http://dx.doi.org/10.4310/jdg/1090348353.

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38

Alboul, L., J. Mencía, R. Ramírez y N. Sadovskaia. "On the determination of the potential function from given orbits". Czechoslovak Mathematical Journal 58, n.º 3 (septiembre de 2008): 799–821. http://dx.doi.org/10.1007/s10587-008-0052-5.

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39

Murai, Satoshi y Takayuki Hibi. "The depth of an ideal with a given Hilbert function". Proceedings of the American Mathematical Society 136, n.º 05 (17 de enero de 2008): 1533–39. http://dx.doi.org/10.1090/s0002-9939-08-09067-9.

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40

Kukina, E. G. "The averaged Dehn function relative to a given probability measure". Siberian Mathematical Journal 47, n.º 2 (marzo de 2006): 298–300. http://dx.doi.org/10.1007/s11202-006-0042-5.

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41

Kudryavtsev, S. N. "RECOVERING A FUNCTION WITH ITS DERIVATIVES FROM FUNCTION VALUES AT A GIVEN NUMBER OF POINTS". Russian Academy of Sciences. Izvestiya Mathematics 45, n.º 3 (30 de junio de 1995): 505–28. http://dx.doi.org/10.1070/im1995v045n03abeh001666.

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42

BETSAKOS, DIMITRIOS. "HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY". Journal of the Australian Mathematical Society 94, n.º 2 (8 de marzo de 2013): 145–57. http://dx.doi.org/10.1017/s1446788712000559.

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AbstractFor holomorphic functions $f$ in the unit disk $ \mathbb{D} $ with $f(0)= 0$, we prove a modulus growth bound involving the logarithmic capacity (transfinite diameter) of the image. We show that the pertinent extremal functions map the unit disk conformally onto the interior of an ellipse. We prove a modulus growth bound for elliptically schlicht functions in terms of the elliptic capacity ${\mathrm{d} }_{\mathrm{e} } f( \mathbb{D} )$ of the image. We also show that the function ${\mathrm{d} }_{\mathrm{e} } f(r \mathbb{D} )/ r$ is increasing for $0\lt r\lt 1$.
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43

Aryanti, Maya Lisa. "Interjections Functioned as Pragmatic Markers and Given/ New Information". Celt: A Journal of Culture, English Language Teaching & Literature 18, n.º 1 (23 de julio de 2018): 84. http://dx.doi.org/10.24167/celt.v18i1.570.

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The purposes of this research are to find out the functions of the interjections functioned as pragmatic markers and what they indicate to, to find out which information the interjections denote and to find out how many functions the interjections functioned as pragmatic markers possibly have. The data are five different interjections taken from five different novels. The results of this research are concerning to the functions of the interjections functioned as pragmatic markers. Generally, the functions are utterance initial, attention marker and a response signal. Further, interjections functioned as pragmatic markers take form as attitude, feelings or both. The interjections denote given/old information, new information and both. The last result is that it is possible for interjections to have more than one function. To sum up, interjections functioned as pragmatic markers have roles and forms in discourses. In addition, interjections functioned as pragmatic markers denote information.
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44

Kofanov, V. A. "Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function". Ukrainian Mathematical Journal 63, n.º 7 (29 de noviembre de 2011): 1118–35. http://dx.doi.org/10.1007/s11253-011-0567-z.

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45

Belhaouari, Samir Brahim, Yassine Hamdi y Abdelouahed Hamdi. "Revisited Carmichael’s Reduced Totient Function". Mathematics 9, n.º 15 (29 de julio de 2021): 1800. http://dx.doi.org/10.3390/math9151800.

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The modified Totient function of Carmichael λ(.) is revisited, where important properties have been highlighted. Particularly, an iterative scheme is given for calculating the λ(.) function. A comparison between the Euler φ and the reduced totient λ(.) functions aiming to quantify the reduction between is given.
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46

Gaidabura, A. E. y V. A. Kofanov. "Sharp Remez-type Inequalities of Various Metrics in the Classes of Functions with Given Comparison Function". Ukrainian Mathematical Journal 69, n.º 11 (abril de 2018): 1710–26. http://dx.doi.org/10.1007/s11253-018-1465-4.

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47

Lutz, J. Gary y Leigh A. Cundari. "Determining the Most Significant Parametric Function for a Given Linear Multivariate Hypothesis". Journal of Educational Statistics 14, n.º 1 (marzo de 1989): 21–28. http://dx.doi.org/10.3102/10769986014001021.

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After a hypothesis about some linear multivariate statistical model has been tested and rejected (e.g., in a MANOVA), many researchers employ simultaneous test procedures to locate the source(s) of the rejection. If the global test was conducted using Roy’s largest root criterion, then this procedure guarantees at least one linear combination of the model parameters relative to some linear combination of the dependent variables that is significantly different from its hypothesized value. This most significant parametric function is not always easy to find, however, because it may not manifest itself in simple or “obvious” functions. A general solution to this problem is presented along with a practical example of its application.
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48

Vetro, Francesca. "Fixed point belonging to the zero-set of a given function". Journal of Nonlinear Sciences and Applications 11, n.º 03 (22 de febrero de 2018): 417–24. http://dx.doi.org/10.22436/jnsa.011.03.09.

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49

Arnold, Vladimir I. "On the problem of realization of a given Gaussian curvature function". Topological Methods in Nonlinear Analysis 11, n.º 2 (1 de junio de 1998): 199. http://dx.doi.org/10.12775/tmna.1998.013.

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50

Thunder, Jeffrey Lin y Martin Widmer. "Counting points of fixed degree and given height over function fields". Bulletin of the London Mathematical Society 45, n.º 2 (7 de noviembre de 2012): 283–300. http://dx.doi.org/10.1112/blms/bds087.

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